Sample proportions, Sampling distribution - small populations, Sampling distribution - large populations, Sampling distribution - normal distribution approximation, Mean & variance of a sample proportion, Sampling distribution - comparing approximations, Mean & variance of the sample proportion, Confidence intervals, Margin of error

Maths Methods Podcast

Episode 35 - Sampling & populations

Probability density functions, Calculating probabilities, Median value, Mean value, Variance, Cumulative probability distributions

Episode 34 - Continuous probability distributions

Area under curves, Left end-point approximation, Right end-point approximation, Improvements to rectangle approximations, Find the total from a rate.

Episode 33 - Approximating areas under curves

Transformations of parabolas, Graphing quadratics, Finding the equation of quadratics

Episode 32 - Quadratic graphs

Translations, Dilations (from the x axis), Dilations (from the y axis), Reflections (in the x axis), Reflections (in the y axis), Summary, Applying transformations, Finding equations from transformation (graphs), Finding equations from transformations (from points)

Episode 31 - Transformation of functions

Intersection of lines - from a graph, Intersection of lines - substitution of equations, Simultaneous equations - elimination method, Simultaneous equations - matrix method, Families of parallel lines - no solutions, Infinite solutions, Example question

Episode 30 - Simultaneous equations

Inverse functions - graphs Inverse functions - rules Inverse functions - from equations Finding inverse functions - one to one.

Episode 29 - Inverse functions

Values of sin x , cos x & tan x, Graphs of sin x & cos x, Transformations of sin graphs, Solving circular function equations, Graphs of tan x

Episode 28 - Graphs of circular functions

The coin toss - three coins The coin toss - four coins The binomial probability distribution Rolling dice How many trials? Using the TI nSpire Graph of binomial distribution Mean & standard deviation

Episode 27 - The binomial probability distribution

Continuous probability density functions The normal distribution Calculating probabilities Z tables Finding values from a probability

Episode 26 - The normal distribution

Probability distributions Discrete random variables Expected values (mean) Variance Linear functions - mean & standard deviation Standard deviation

Episode 25 - Discrete probability distributions

Area under a curve - integration Circular functions Exponential functions Hyperbolic functions Area between two curves Average value of a function

Episode 24 - Definite integrals

Anti-differentiation of powers of x Anti-differentiation of circular functions Anti-differentiation of exponential functions Anti-differentiation of 1/x

Episode 23 - More Integration

Episode 22 - Euler's Rule for Linear Approximations

Episode 21 - Related rates of change

A summary of the topics covered in VCE Maths Methods Unit 1 & 2. Created by Justin Vincent at Warrnambool College.

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Maths Methods Podcast

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